Question

adrian wants to lay carpeting over a certain area of his apartment. the diagram below shows the floor plan. its made up of a larger square with two smaller squares attached to its sides. write an expression involving exponents to represent the shaded area in square feet. then use that expression to calculate how much carpeting adrian will need. answer expressions: evaluated: square feet

Explanation:

Step1: Identify square side lengths

Large square: 8ft, small squares: 3ft, 6ft

Step2: Calculate areas of squares

Large: $8^2$, Small1: $3^2$, Small2: $6^2$

Step3: Sum areas for total

Total area: $8^2 + 3^2 + 6^2$

Step4: Evaluate the expression

$64 + 9 + 36 = 109$

Answer:

Expressions: $8^2 + 3^2 + 6^2$
Evaluated: 109 square feet